# How do you solve by substitution x+14y=84 and 2x-7= -7?

Jul 11, 2015

#### Answer:

$x = 0$
$y = 6$

#### Explanation:

There are a few ways to find $x$ and $y$.

Well, we could multiply by $- 2$ to both sides of the equal sign of

$x + 14 y = 84$

to get: $- 2 x - 28 y = - 168$

Then, add what we just obtained to $2 x - 7 = - 7$

$2 x - 7 = - 7$
$- 2 x - 28 y = - 168$

which gives us: $- 7 - 28 y = - 175$

Add $7$ to both sides: $- 28 y = - 168$

Divide both sides by $- 28$ to get:

$y = 6$

Now that we have $y$, plug it into $x + 14 y = 84$

$x + 14 y = 84$
$x + 14 \left(6\right) = 84$
$x + 84 = 84$
$x = 0$

So, $x = 0$ and $y = 6$